Rationalise the denominator 7518

Rationalise the denominator `sqrt(75)/sqrt(18)`

Sum

`sqrt(75)/sqrt(18) = sqrt(3 xx 25)/sqrt(2 xx 9)`

= `(5sqrt(3))/(3sqrt(2))`

= `(5sqrt(3))/(3sqrt(2)) xx sqrt(2)/sqrt(2)`

= `(5sqrt(6))/(3 xx 2)`

= `(5sqrt(6))/6`

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Rationalisation of Surds

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Chapter 2: Real Numbers - Exercise 2.7 [Page 70]

Chapter 2 Real Numbers
Exercise 2.7 | Q 1. (iii) | Page 70

Write the lowest rationalising factor of : √24

Write the lowest rationalising factor of : 7 - √7

Find the values of 'a' and 'b' in each of the following:
`[5 + 3sqrt2]/[ 5 - 3sqrt2] = a + bsqrt2`

If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find :
x²

If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find mn

If x = 5 - 2√6, find `x^2 + 1/x^2`

If √2 = 1.4 and √3 = 1.7, find the value of : `1/(3 + 2√2)`

Rationalise the denominator `5/(3sqrt(5))`

Rationalise the denominator and simplify `sqrt(5)/(sqrt(6) + 2) - sqrt(5)/(sqrt(6) - 2)`

Given `sqrt(2)` = 1.414, find the value of `(8 - 5sqrt(2))/(3 - 2sqrt(2))` (to 3 places of decimals).